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CCSS HSN-CN.A.1 Worksheets

Algebra 2 · The Complex Number System

Know there is a complex number i such that i² = -1, and that every complex number can be written in the form a + bi with a and b real numbers.

Below are free printable worksheets that support HSN-CN.A.1. Print them as PDFs, or generate a fresh one. Every math answer key is computed in code, so it is never wrong.

Teaching guide

What students learn

Know there is a complex number i such that i² = -1, and that every complex number can be written in the form a + bi with a and b real numbers.

Worked example
Simplify: i40i^{40}
Answer: 1
Why: 40 = 4 × 10, so i40i^{40} = (i4)10(i⁴)^{10} = 1101^{10} = 1 (since i⁴ = 1).

Generated and checked in code, so it is correct.

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More Algebra 2 standards: HSF-IF.A.3 · HSF-BF.A.2 · HSA-SSE.B.4 · HSA-REI.C.6 · HSA-REI.C.7 · HSA-REI.C.8 · HSN-VM.C.7 · HSN-VM.C.8
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